Answer:23,87
Explanation:
call the 2 numbers x and y
average of 2 numbers being 55 means (x+y)/2 = 55
if the positive difference of the two numbers is 64 then x-y=64
since you have two equations and two variables you can solve for x and y
(x+y)/2 = 55 --> x+y=110
x-y=64 --> x=64+y
x+y=110 and x=64+y --> 64+y+y=110
y=23
x=87
the two numbers are 23 and 87